🔢Super factorials are obtained by multiplying multiple factorials together.
🧮The number 288 can be expressed as the sum of exponential powers of its digits.
🔬Multiplying 4k super factorial by 2k factorial always results in a square number.
🔢288 is the only number that can be expressed as the sum of exponential powers of its digits.
🤔Super factorial notation can be varied, and different symbols can be used to represent it.
What are super factorials?
—Super factorials are obtained by multiplying multiple factorials together, providing a new way to calculate large numbers.
Why is 288 an interesting number?
—288 is interesting because it can be expressed as the sum of exponential powers of its digits, making it unique.
Are there other numbers like 288?
—No, 288 is the only number with the property of being expressed as the sum of exponential powers of its digits.
What is the relationship between super factorials and square numbers?
—When multiplying 4k super factorial by 2k factorial, the result is always a square number.
Can super factorial notation be represented in different ways?
—Yes, super factorial notation can vary, and different symbols, such as the interabang, can be used.
00:00Introduction to the fascination with the number 288 and its properties.
04:07Explanation of super factorials and how they are obtained by multiplying several factorials together.
07:39Introducing the 'halfsies' game from Brilliant.org, which is a fun way to practice visual estimation skills.
08:49Discussion about the minimum length of super permutations, with a mention of a recent discovery of a shorter super permutation.
